137105 has 8 divisors (see below), whose sum is σ = 174312. Its totient is φ = 103168.

The previous prime is 137089. The next prime is 137117. The reversal of 137105 is 501731.

137105 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 101761 = 188^2 + 319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137105 - 2⁴ = 137089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (21789).

2¹³⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

137105 is a deficient number, since it is larger than the sum of its proper divisors (37207).

137105 is a wasteful number, since it uses less digits than its factorization.

137105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 137105 is about 370.2769233965. The cubic root of 137105 is about 51.5645340489.

Adding to 137105 its reverse (501731), we get a palindrome (638836).

It can be divided in two parts, 137 and 105, that added together give a palindrome (242).

The spelling of 137105 in words is "one hundred thirty-seven thousand, one hundred five".